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266142396 = 223132989661
BaseRepresentation
bin11111101110100…
…00001010111100
3200112210102201210
433313100022330
51021113024041
642224204420
76411113232
oct1767201274
9615712653
10266142396
111272597a3
1275169710
13431a5010
14274bc952
1518572016
hexfdd02bc

266142396 has 96 divisors (see below), whose sum is σ = 700660800. Its totient is φ = 78059520.

The previous prime is 266142377. The next prime is 266142397. The reversal of 266142396 is 693241662.

266142396 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (266142397) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 402306 + ... + 402966.

It is an arithmetic number, because the mean of its divisors is an integer number (7298550).

Almost surely, 2266142396 is an apocalyptic number.

266142396 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 266142396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350330400).

266142396 is an abundant number, since it is smaller than the sum of its proper divisors (434518404).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

266142396 is a wasteful number, since it uses less digits than its factorization.

266142396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 797 counting only the distinct ones).

The product of its digits is 93312, while the sum is 39.

The square root of 266142396 is about 16313.8712756966. The cubic root of 266142396 is about 643.2374982006.

The spelling of 266142396 in words is "two hundred sixty-six million, one hundred forty-two thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 78 87 89 116 156 174 178 267 348 356 377 534 661 754 1068 1131 1157 1322 1508 1983 2262 2314 2581 2644 3471 3966 4524 4628 5162 6942 7743 7932 8593 10324 13884 15486 17186 19169 25779 30972 33553 34372 38338 51558 57507 58829 67106 76676 100659 103116 115014 117658 134212 176487 201318 230028 235316 249197 352974 402636 498394 705948 747591 764777 996788 1495182 1529554 1706041 2294331 2990364 3059108 3412082 4588662 5118123 6824164 9177324 10236246 20472492 22178533 44357066 66535599 88714132 133071198 266142396